
In addition, it is assumed that \(\eta _k\)  is realized randomly from a normal distribution for each user. The power allocations in APs are fixed. The dispensed resource in an AP is bandwidth. The channel between each user and an AP is a Rayleigh fading channel. The CDF of the wireless channel capacity, which is parameterized by the allocated bandwidth \(t_k^p\) , is given as [1]}
\(1-\exp (\frac{1-2^{v_k^p/t_k^p}}{\overline{\text{SNR}_k^p}}),\nonumber \) 
